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Reika [66]
3 years ago
15

. A large bakery has many different products for sale. Suppose that 200 customers come in between 6 am and 10 am. Of the 200 cus

tomers, 140 order donuts, 100 order cinnamon rolls, and 80 order both. Suppose a customer is randomly selected:(d) If we know a person orders donuts, what is the probability that they order cinnamon rolls?
Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Answer:\dfrac{4}{7}

Step-by-step explanation:

Formula for conditional probability:

P(B|A)=\dfrac{P(B\cap A)}{P(A)}

Given: n (donuts) = 140

n(donuts and cinnamon rolls) = 80

Now, the probability that they order cinnamon rolls given that we = know a person orders donuts  will be :

P(cinnamon\ rolls |\ donuts)=\dfrac{n(cinnamon\ and \ donuts)}{n(donuts)}\\\\=\dfrac{80}{140}\\\\=\dfrac{4}{7}

Required probability= \dfrac{4}{7}

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9 gallons of water
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Multiply that by the number of plants you want.
0.3 x 30 = 9
6 0
2 years ago
With a family bowling pass, families can bowl for $4 per game . The pass cost $10 per year. Use equation , a table and a graph t
Klio2033 [76]

Answer:

Part a) a=4g+10 (see the explanation)

Part b) see the explanation

Part c) The graph in the attached figure

Step-by-step explanation:

<u><em>The complete question is</em></u>

With a family bowling pass, families can bowl for $4 per game. The pass costs $10 per year. Use an equation, a table, and a graph to explain the relationship between the total amount of money spent on bowling in a year, a, and the number of games a family plays in a year, g. Part A Use words and an equation to represent this problem. Part B Create a table to show values for g and a. Part C Use the values from your table to draw a graph.

Part A) Use words and an equation to represent this problem

Let

a ----> the total amount of money spent on bowling in a year

g ---> the number of games a family plays in a year

we know that

The linear equation in slope intercept form is equal to

a=mg+b

where

m is the slope or unit rate

b is the a-intercept or initial value

In this problem we have

m=\$4\ per\ game

b=\$10

substitute

a=4g+10

Part b) Create a table to show values for g and a

Assume different values of g and calculate the corresponding values of a

For g=0 ----> a=4(0)+10=\$10

For g=1 ----> a=4(1)+10=\$14

For g=2 ----> a=4(2)+10=\$18

For g=3 ----> a=4(3)+10=\$22

For g=4 ----> a=4(4)+10=\$26

The table is

\left[\begin{array}{ccc}g&a\\0&10\\1&14\\2&18\\3&22\\4&26\end{array}\right]

Part c) Use the values from your table to draw a graph

we have the ordered pairs

(0,10),(1,14),(2,18),(3,22),(4,26)

Plot the ordered pairs and join them to graph the line

The graph in the attached figure

6 0
2 years ago
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Alecsey [184]

Answer:  f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.

Step-by-step explanation:

Given function: f(x)=\dfrac{3x^2}{x^2-4}

The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.

i.e. x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2

Hence, f(x) will have vertical asymptotes at x=-2 and x=2.

To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.

So, the graph will horizontal asymptote at y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}

i.e. y=\dfrac{3}{1}=3

Hence, f(x) will have horizontal asymptote at y=3.

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In the absence of ATC restriction on climb or descent, and aircraft are within 1,000 feet of assigned altitude. pilots should attempt to both climb and descend at a rate of between 500 fpm and 15000 fpm. (Option A)

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Learn more about Air Traffic Controller (ATC):

brainly.com/question/5018782

#SPJ4

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